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Finding the Fourth Proportional to 318,753.20, 478,014.94 and 105,481.74

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Solution

The fourth proportional to 318,753.20, 478,014.94 and 105,481.74 is: 158,184.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,753.20 : 478,014.94 = 105,481.74 : x
  2. Step 2: Convert to fraction form
    318,753.20/478,014.94 = 105,481.74/x
  3. Step 3: Cross multiply
    318,753.20x = 478,014.94 × 105,481.74
  4. Step 4: Simplify right side
    318,753.20x = 50,421,849,838.27
  5. Step 5: Solve for x
    x = 50,421,849,838.27/318,753.20
  6. Step 6: Final answer
    x = 158,184.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.